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136842912 = 2533413863
BaseRepresentation
bin10000010100000…
…00111010100000
3100112111100012000
420022000322200
5240012433122
621325004000
73251100633
oct1012007240
9315440160
10136842912
1170276118
12399b3600
132247334b
1414261c1a
15c0310ac
hex8280ea0

136842912 has 96 divisors (see below), whose sum is σ = 408965760. Its totient is φ = 44490240.

The previous prime is 136842907. The next prime is 136842913. The reversal of 136842912 is 219248631.

136842912 is a `hidden beast` number, since 1 + 368 + 4 + 291 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136842913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33493 + ... + 37355.

It is an arithmetic number, because the mean of its divisors is an integer number (4260060).

Almost surely, 2136842912 is an apocalyptic number.

136842912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136842912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204482880).

136842912 is an abundant number, since it is smaller than the sum of its proper divisors (272122848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136842912 is a wasteful number, since it uses less digits than its factorization.

136842912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3909 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 136842912 is about 11697.9875192274. The cubic root of 136842912 is about 515.3165640990.

The spelling of 136842912 in words is "one hundred thirty-six million, eight hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3863 3936 4428 5904 7726 8856 11589 11808 15452 17712 23178 30904 34767 35424 46356 61808 69534 92712 104301 123616 139068 158383 185424 208602 278136 316766 370848 417204 475149 556272 633532 834408 950298 1112544 1267064 1425447 1668816 1900596 2534128 2850894 3337632 3801192 4276341 5068256 5701788 7602384 8552682 11403576 15204768 17105364 22807152 34210728 45614304 68421456 136842912